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Ingy döt Net 2013-04-10 23:57:08 -07:00
parent 47bf37c096
commit b83f433714
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Task/Ray-casting-algorithm/Perl-6/ray-casting-algorithm.pl6 Normal file
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constant ε = 0.0001;
sub ray-hits-seg([\Px,\Py], [[\Ax,\Ay], [\Bx,\By]] --> Bool) {
Py += ε if Py == Ay | By;
if Py < Ay or Py > By or Px > (Ax max Bx) {
False;
}
elsif Px < (Ax min Bx) {
True;
}
else {
my \red = Ax == Bx ?? Inf !! (By - Ay) / (Bx - Ax);
my \blue = Ax == Px ?? Inf !! (Py - Ay) / (Px - Ax);
blue >= red;
}
}
sub point-in-poly(@point, @polygon --> Bool) {
so 2 R% [+] gather for @polygon -> @side {
take ray-hits-seg @point, @side.sort(*.[1]);
}
}
my %poly =
squared =>
[[[ 0.0, 0.0], [10.0, 0.0]],
[[10.0, 0.0], [10.0, 10.0]],
[[10.0, 10.0], [ 0.0, 10.0]],
[[ 0.0, 10.0], [ 0.0, 0.0]]],
squaredhole =>
[[[ 0.0, 0.0], [10.0, 0.0]],
[[10.0, 0.0], [10.0, 10.0]],
[[10.0, 10.0], [ 0.0, 10.0]],
[[ 0.0, 10.0], [ 0.0, 0.0]],
[[ 2.5, 2.5], [ 7.5, 2.5]],
[[ 7.5, 2.5], [ 7.5, 7.5]],
[[ 7.5, 7.5], [ 2.5, 7.5]],
[[ 2.5, 7.5], [ 2.5, 2.5]]],
strange =>
[[[ 0.0, 0.0], [ 2.5, 2.5]],
[[ 2.5, 2.5], [ 0.0, 10.0]],
[[ 0.0, 10.0], [ 2.5, 7.5]],
[[ 2.5, 7.5], [ 7.5, 7.5]],
[[ 7.5, 7.5], [10.0, 10.0]],
[[10.0, 10.0], [10.0, 0.0]],
[[10.0, 0.0], [ 2.5, 2.5]],
[[ 2.5, 2.5], [ 0.0, 0.0]]], # conjecturally close polygon
exagon =>
[[[ 3.0, 0.0], [ 7.0, 0.0]],
[[ 7.0, 0.0], [10.0, 5.0]],
[[10.0, 5.0], [ 7.0, 10.0]],
[[ 7.0, 10.0], [ 3.0, 10.0]],
[[ 3.0, 10.0], [ 0.0, 5.0]],
[[ 0.0, 5.0], [ 3.0, 0.0]]];
my @test-points =
[ 5.0, 5.0],
[ 5.0, 8.0],
[-10.0, 5.0],
[ 0.0, 5.0],
[ 10.0, 5.0],
[ 8.0, 5.0],
[ 10.0, 10.0];
for <squared squaredhole strange exagon> -> $polywanna {
say "$polywanna";
my @poly = %poly{$polywanna}[];
for @test-points -> @point {
say "\t(@point.fmt('%.1f',','))\t{ point-in-poly(@point, @poly) ?? 'IN' !! 'OUT' }";
}
}